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Simplifying (6n2 + -3n + 4)(8n + 1) = 0 Reorder the terms: (4 + -3n + 6n2)(8n + 1) = 0 Reorder the terms: (4 + -3n + 6n2)(1 + 8n) = 0 Multiply (4 + -3n + 6n2) * (1 + 8n) (4(1 + 8n) + -3n * (1 + 8n) + 6n2 * (1 + 8n)) = 0 ((1 * 4 + 8n * 4) + -3n * (1 + 8n) + 6n2 * (1 + 8n)) = 0 ((4 + 32n) + -3n * (1 + 8n) + 6n2 * (1 + 8n)) = 0 (4 + 32n + (1 * -3n + 8n * -3n) + 6n2 * (1 + 8n)) = 0 (4 + 32n + (-3n + -24n2) + 6n2 * (1 + 8n)) = 0 (4 + 32n + -3n + -24n2 + (1 * 6n2 + 8n * 6n2)) = 0 (4 + 32n + -3n + -24n2 + (6n2 + 48n3)) = 0 Combine like terms: 32n + -3n = 29n (4 + 29n + -24n2 + 6n2 + 48n3) = 0 Combine like terms: -24n2 + 6n2 = -18n2 (4 + 29n + -18n2 + 48n3) = 0 Solving 4 + 29n + -18n2 + 48n3 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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